Functional Chung laws for small increments of the empirical process and a lowerbound in the strong invariance principle
Consider the set \(\Theta_{n}\) of all \(\alpha_{n}\)-sized increment processes of the uniform empirical process \(\alpha_{n}\) on \([0,1]\). The author computes the exact rate of clustering of \(\Theta_{n}\) to any Strassen function having Lebesgue derivative of bounded variation.
scientific article; zbMATH DE number 5990587
scientific article